On testing and extending the inflationary consistency relation for tensor modes

If observations confirm BICEP2’s claim of a tensor-scalar ratio $r\approx 0.2$onCMBscales,thentheinflationaryconsistencyrelation$n_{t}=-r/8$predictsasmallnegativevalueforthetensorspectralindex$n_t$. We show that future CMB polarization experiments should be able to confirm this prediction at several sigma. We also show how to properly extend the consistency relation to solar system scales, where the primordial gravitational wave density ${\mathrm{\Omega }}_{gw}$ could be measured by proposed experiments such as the Big Bang Observer. This would provide a far more stringent test of the consistency relation and access much more detailed information about the early universe.